We appreciate your visit to Starting at the same time Mindy and Morgan began jogging around a quarter mile track Given their jogging rates how long will it take Morgan. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
Morgan will take 1 / (x - y) minutes to run a full lap more than Mindy.
Explanation:
To determine how long it will take Morgan to run a full lap more than Mindy, we need to compare their jogging rates. If Morgan's jogging rate is faster than Mindy's, Morgan will finish a full lap before Mindy. Let's say Morgan's jogging rate is x laps per minute and Mindy's jogging rate is y laps per minute.
If Morgan finishes a full lap more than Mindy, then Morgan needs to run one lap more than Mindy's lap. So, the equation will be x * t = (y * t) + 1, where t is the time it takes for them to jog one lap.
Simplifying the equation, we get x * t = y * t + 1. Rearranging the equation, we have x * t - y * t = 1. Combining like terms, we get (x - y) * t = 1. Finally, solving for t, we have t = 1 / (x - y).
Therefore, it will take Morgan 1 / (x - y) minutes to run a full lap more than Mindy.
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